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Finding the Fourth Proportional to 3,591.02, 5,386.50 and 922.59

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Solution

The fourth proportional to 3,591.02, 5,386.50 and 922.59 is: 1,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.02 : 5,386.50 = 922.59 : x
  2. Step 2: Convert to fraction form
    3,591.02/5,386.50 = 922.59/x
  3. Step 3: Cross multiply
    3,591.02x = 5,386.50 × 922.59
  4. Step 4: Simplify right side
    3,591.02x = 4,969,531.04
  5. Step 5: Solve for x
    x = 4,969,531.04/3,591.02
  6. Step 6: Final answer
    x = 1,383.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.